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Finding the Fourth Proportional to 10,511.84, 15,768.28 and 3,492.48

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Solution

The fourth proportional to 10,511.84, 15,768.28 and 3,492.48 is: 5,238.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.84 : 15,768.28 = 3,492.48 : x
  2. Step 2: Convert to fraction form
    10,511.84/15,768.28 = 3,492.48/x
  3. Step 3: Cross multiply
    10,511.84x = 15,768.28 × 3,492.48
  4. Step 4: Simplify right side
    10,511.84x = 55,070,402.53
  5. Step 5: Solve for x
    x = 55,070,402.53/10,511.84
  6. Step 6: Final answer
    x = 5,238.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.